Polynomial approximation of an entire function of slow growth
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Publication:1169628
DOI10.1016/0021-9045(81)90022-8zbMath0495.41005OpenAlexW2036974957MaRDI QIDQ1169628
G. P. Kapoor, Akhilesh Nautiyal
Publication date: 1981
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(81)90022-8
Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Special classes of entire functions of one complex variable and growth estimates (30D15)
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Polynomial approximation of an entire function and rate of growth of Taylor coefficients ⋮ Generalized slow growth of special monogenic functions ⋮ Generalized growth and approximation of entire function solution of Helmholtz equation in Banach spaces ⋮ Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth ⋮ Unnamed Item ⋮ The degree of convergence of entire functions and generalized type ⋮ The generalized lower order of Dirichlet series ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Faber polynomial approximation of entire functions of slow growth over Jordan domains ⋮ Generalized order and type of entire functions and best approximation in \(L^p\)-norm ⋮ Generalized growth and best approximation of entire functions in \(L^p\) -norm in several complex variables ⋮ On the relation between maximum modulus, maximum term, and Taylor coefficients of an entire function ⋮ Approximation of entire functions over Carathéodory domains
Cites Work
- Polynomial approximation of an entire function and generalized orders
- On an extension of a result of S. N. Bernstein
- On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion
- Approximation of an entire function
- Approximation of an entire function
- Best polynomial approximation to certain entire functions
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